2003 AMC 12B Problems/Problem 14

In rectangle ABCD, AB = 5 and BC = 3. Points F and G are on CD so that DF = 1 and GC = 2. Lines AF and BG intersect at E. Find the area of $\tri{AEB}$ (Error compiling LaTeX. Unknown error_msg). Problem 14.png

$\text {(A) } 10 \qquad \text {(B) } \frac{21}{2} \qquad \text {(C) } 12 \qquad \text {(D) } \frac{25}{2} \qquad \text {(E) } 15$ The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png